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International Conference on Statistics, Combinatorics and Related Areas and the Eighth International Conference of Forum for Interdisciplinary Mathematics
December 19-21, 2001
School of Mathematics and Applied Statistics, University of Wollongong
Wollongong, NSW, Australia

Organizers
Satya N. Mishra (University of South Alabama), Chandra M. Gulati (University of Wollongong)

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Measures of Growth of Entire Functions of Two Complex Veriables
by
Devendra Kumar
department of maths d. s. m. degree college kanth-244501 (moradabad) u.p. INDIA
Coauthors: H.S. Kasana

Order and type for entire functions of two complex veriables, in classical setting,were introduced independtly by A.A Goldberg (Dokl.Akad. Nauk. Armjam SSR29 (1959),145-151) and S.K.Boas and D.Sharma (Composito Math. 15 (1963),210-226),who obtained thier coefficient characterisation. In this paper we have studied the necessary and sufficient conditions for power series of homogeneous polynomials in two complex variables to be of finite order and type.It is interesting to mention here that our results includs the results of Goldberg and Boas and Sharma Here we have considered only two variables to reducing the mechanical labour. the results can easily be extended to several variables.

Date received: October 8, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caid-38.